Global dynamics of a general vector-borne disease model with two transmission routes

Sk Shahid Nadim; Indrajit Ghosh; Joydev Chattopadhyay

Using numerical simulations, the impact of the heterogeneity parameter k have been studied. We The copyright holder for this preprint (which was not peer-reviewed) is the . https://doi.org/10.1101/486720 doi: bioRxiv preprint Table 4 : Variation in the equilibrium susceptible host level and equilibrium infected host level due to changes in the parameters k, β i and βv. Further, we investigated the sensitivity of the parameters k, β i and β v with respect to the equilibrium 492 susceptible and infected host levels, Table 4 . It is observed that the equilibrium infected host level 493 increases with increase in the parameter k. to switch the stability of equilibria. In case of backward bifurcation, temporary control can curb the 507 disease endemic equilibrium to disease free state. On the other hand, the system can be brought to lower 508 endemic levels by the employment of temporary control. We found that the strength of psychological 509 effect will have significant contribution in lowering the endemic infection level of the host population.